Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

identify the point that applies a rotation function mapping for p in a …

Question

identify the point that applies a rotation function mapping for p in a 270 - degree counterclockwise rotation about the origin. (1 point)

Explanation:

Step1: Recall rotation formula

For a 270 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(y, - x)$.
Let the coordinates of point $P$ be $(4,1)$.

Step2: Apply the rotation formula

Substitute $x = 4$ and $y = 1$ into the rule $(y,-x)$. We get $(1,-4)$.
Looking at the graph, the point with coordinates $(1,-4)$ is point 4.

Answer:

4